You're on a roll — here's the solution for question 3:
Question 3: How many chloride ions are present in 1.7g of magnesium chloride crystals? (Avogadro's constant = 6.0×1023, Mg = 24, Cl = 35.5)
Step 1: Determine the chemical formula of magnesium chloride.
Magnesium is a Group 2 element, forming Mg2+ ions. Chlorine is a Group 17 element, forming Cl− ions. To balance the charges, the formula for magnesium chloride is MgCl2.
Step 2: Calculate the molar mass of magnesium chloride (MgCl2).
Given atomic masses: Mg = 24, Cl = 35.5
MolarmassofMgCl2=MolarmassofMg+(2×MolarmassofCl)
MolarmassofMgCl2=24g/mol+(2×35.5g/mol)
MolarmassofMgCl2=24g/mol+71g/mol=95g/mol
Step 3: Calculate the moles of magnesium chloride in 1.7g.
Given mass of MgCl2=1.7 g
MolesofMgCl2=MolarmassMass
MolesofMgCl2=95g/mol1.7g≈0.01789mol
Step 4: Calculate the number of MgCl2 formula units.
Using Avogadro's constant (6.0×1023 formula units/mol):
NumberofMgCl2units=Moles×Avogadro′sconstant
NumberofMgCl2units=0.01789mol×6.0×1023units/mol
NumberofMgCl2units≈0.10734×1023=1.0734×1022units
Step 5: Calculate the number of chloride ions.
From the formula MgCl2, each formula unit contains 2 chloride ions (Cl−).
NumberofCl−ions=2×NumberofMgCl2units
NumberofCl−ions=2×1.0734×1022
NumberofCl−ions=2.1468×1022
Rounding to two significant figures (due to 1.7g), we get:
NumberofCl−ions=2.1×1022
The number of chloride ions present is 2.1×1022.
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